$\begin{array}{1 1}(A)\;\large\frac{6}{13}\\(B)\;\large\frac{7}{13}\\(C)\;\large\frac{5}{13}\\(D)\;\large\frac{8}{13}\end{array} $

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- Probability =$\large\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

Step 1:

Given the word "ASSASSINATION"

$\therefore$ Total number of letters =13

Total number of vowels in the word =3(A)+2(I)+1(O)

$\Rightarrow 6$

Total number of consonants in the word =7

Step 2:

Probability that letter is a vowel =$\large\frac{n(E)}{n(S)}$

$\Rightarrow \large\frac{6}{13}$

Hence (A) is the correct answer.

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